Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42284f |
Isogeny class |
Conductor |
42284 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-53264420918896 = -1 · 24 · 112 · 317 |
Discriminant |
Eigenvalues |
2- 2 1 1 11- 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9290,64209] |
[a1,a2,a3,a4,a6] |
j |
6243584/3751 |
j-invariant |
L |
4.6359433733813 |
L(r)(E,1)/r! |
Ω |
0.38632861445139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1364a1 |
Quadratic twists by: -31 |